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020 a| 9780128178010;

020 a| 0128178019;

020 z| 9780128178027q| (ePub ebook);

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050 00 a| QA845b| .C47 2019;

082 04 a| 515.632| 23;

100 1 a| Cheng, Daizhan.=| ^A1125659;

245 10 a| From dimension-free matrix theory to cross -dimensional dynamic systemsh| [electronic resource] /c| Daizhan Cheng.;

260 a| London, United Kingdom :b| Elsevier Academic Press,c| [2019];

300 a| xix, 343 pages :b| illustrations ;c| 23 cm;

490 1 a| Mathematics in science and engineering;

504 a| Includes bibliographical references and index.;

505 0 a| 1. Semi-tensor product of matrices -- 2. Boolean networks -- 3. finite games -- 4. Equivalence and lattice structures -- 5. Topological structure on quotient space -- 6. Differential geometry on set of matrices -- 7. Cross-dimensional lie algebra and lie group -- 8. Second matrix-matrix semi-tensor product -- 9. Structure on set of vectors -- 10. Dimension-varying linear system -- 11. Dimension-varying linear control system -- 12. Generalized dynamic systems -- 13. Dimension-varying nonlinear dynamic systems -- References.;

506 a| Available only to authorized users.;

520 a| From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems illuminates the underlying mathematics of semi-tensor product (STP), a generalized matrix product that extends the conventional matrix product to two matrices of arbitrary dimensions. Dimension-varying systems feature prominently across many disciplines, and through innovative applications its newly developed theory can revolutionize large data systems such as genomics and biosystems, deep learning, IT, and information-based engineering applications.--c| Source other than the Library of Congress.;

538 a| Mode of access: World Wide Web;

650 0 a| Tensor products.=| ^A43448;

650 0 a| Matrices.=| ^A19840;

650 0 a| Dynamics.=| ^A16377;

650 7 a| Dynamics.2| fast0| (OCoLC)fst00900295;

650 7 a| Matrices.2| fast0| (OCoLC)fst01012399;

650 7 a| Tensor products.2| fast0| (OCoLC)fst01147728;

655 0 a| Electronic books.=| ^A491897;

830 0 a| Mathematics in science and engineering.=| ^A19809;

856 40 z| Full text available from eBooks on EBSCOhostu| https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=1951551&scope=site&custid=s5822723&authtype=ip,shib;

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From dimension-free matrix theory to cross -dimensional dynamic systems / Daizhan Cheng.

Author/creator	Cheng, Daizhan
Format	Electronic
Publication Info	London, United Kingdom : Elsevier Academic Press, [2019]
Description	xix, 343 pages : illustrations ; 23 cm
Supplemental Content	Full text available from eBooks on EBSCOhost
Subjects	Tensor products. Matrices. Dynamics.

Series	Mathematics in science and engineering Mathematics in science and engineering. ^A19809
Contents	1. Semi-tensor product of matrices -- 2. Boolean networks -- 3. finite games -- 4. Equivalence and lattice structures -- 5. Topological structure on quotient space -- 6. Differential geometry on set of matrices -- 7. Cross-dimensional lie algebra and lie group -- 8. Second matrix-matrix semi-tensor product -- 9. Structure on set of vectors -- 10. Dimension-varying linear system -- 11. Dimension-varying linear control system -- 12. Generalized dynamic systems -- 13. Dimension-varying nonlinear dynamic systems -- References.
Abstract	From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems illuminates the underlying mathematics of semi-tensor product (STP), a generalized matrix product that extends the conventional matrix product to two matrices of arbitrary dimensions. Dimension-varying systems feature prominently across many disciplines, and through innovative applications its newly developed theory can revolutionize large data systems such as genomics and biosystems, deep learning, IT, and information-based engineering applications.-- Source other than the Library of Congress.
Bibliography note	Includes bibliographical references and index.
Access restriction	Available only to authorized users.
Technical details	Mode of access: World Wide Web
Genre/form	Electronic books.
LCCN	2018420814
ISBN	9780128178010
ISBN	0128178019
ISBN	(ePub ebook)

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